Hernández-Verón, Miguel Ángel; Magreñán, Ángel Alberto; Martínez, Eulalia; Singh, Sukhjit An improvement of derivative-free point-to-point iterative processes with central divided differences. (English) Zbl 07773930 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 7, 2781-2799 (2023). MSC: 45G10 47H17 65J15 PDFBibTeX XMLCite \textit{M. Á. Hernández-Verón} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 7, 2781--2799 (2023; Zbl 07773930) Full Text: DOI
Argyros, C.; Argyros, M. I.; Argyros, I. K.; Magreñán, Á. A.; Sarría, Í. Local and semi-local convergence for Chebyshev two point like methods with applications in different fields. (English) Zbl 1517.65039 J. Comput. Appl. Math. 426, Article ID 115072, 7 p. (2023). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{C. Argyros} et al., J. Comput. Appl. Math. 426, Article ID 115072, 7 p. (2023; Zbl 1517.65039) Full Text: DOI
Ezquerro, J. A.; Hernández-Verón, M. A.; Magreñán, Á. A.; Moysi, A. A significant improvement of a family of secant-type methods. (English) Zbl 1524.65211 J. Comput. Appl. Math. 424, Article ID 115002, 16 p. (2023). MSC: 65J15 47J25 45G10 65R20 PDFBibTeX XMLCite \textit{J. A. Ezquerro} et al., J. Comput. Appl. Math. 424, Article ID 115002, 16 p. (2023; Zbl 1524.65211) Full Text: DOI
Ezquerro, J. A.; Hernández-Verón, M. A.; Magreñán, Á. A. How to increase the accessibility of Newton’s method for operators with center-Lipschitz continuous first derivative. (English) Zbl 1492.65147 Numer. Funct. Anal. Optim. 43, No. 3, 350-363 (2022). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{J. A. Ezquerro} et al., Numer. Funct. Anal. Optim. 43, No. 3, 350--363 (2022; Zbl 1492.65147) Full Text: DOI
Ezquerro, J. A.; Hernández-Verón, M. A.; Magreñán, Á. A. On global convergence for an efficient third-order iterative process. (English) Zbl 1481.65081 J. Comput. Appl. Math. 404, Article ID 113417, 11 p. (2022). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{J. A. Ezquerro} et al., J. Comput. Appl. Math. 404, Article ID 113417, 11 p. (2022; Zbl 1481.65081) Full Text: DOI
Moysi, A.; Argyros, M.; Argyros, I. K.; Magreñán, Á. A.; Sarría, Í.; González, D. Local convergence comparison between frozen Kurchatov and Schmidt-Schwetlick-Kurchatov solvers with applications. (English) Zbl 1503.65118 J. Comput. Appl. Math. 404, Article ID 113392, 8 p. (2022). MSC: 65J15 47J05 65H10 PDFBibTeX XMLCite \textit{A. Moysi} et al., J. Comput. Appl. Math. 404, Article ID 113392, 8 p. (2022; Zbl 1503.65118) Full Text: DOI
Maroju, P.; Magreñán, Á. A.; Sarría, Í.; Kumar, Abhimanyu Local convergence of fourth and fifth order parametric family of iterative methods in Banach spaces. (English) Zbl 1477.65089 J. Math. Chem. 58, No. 3, 686-705 (2020). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{P. Maroju} et al., J. Math. Chem. 58, No. 3, 686--705 (2020; Zbl 1477.65089) Full Text: DOI
Argyros, Ioannis K.; Legaz, M. J.; Magreñán, Á. A.; Moreno, D.; Sicilia, Juan Antonio Extended local convergence for some inexact methods with applications. (English) Zbl 1415.65123 J. Math. Chem. 57, No. 5, 1508-1523 (2019). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Math. Chem. 57, No. 5, 1508--1523 (2019; Zbl 1415.65123) Full Text: DOI
Argyros, Ioannis K.; Magreñán, Á. A.; Orcos, L.; Sarría, Íñígo; Sicilia, Juan Antonio Different methods for solving STEM problems. (English) Zbl 1415.65124 J. Math. Chem. 57, No. 5, 1268-1281 (2019). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Math. Chem. 57, No. 5, 1268--1281 (2019; Zbl 1415.65124) Full Text: DOI
Argyros, Ioannis K.; Giménez, Elena; Magreñán, Á. A.; Sarría, Í.; Sicilia, Juan Antonio Improved semilocal convergence analysis in Banach space with applications to chemistry. (English) Zbl 1407.65059 J. Math. Chem. 56, No. 7, 1958-1975 (2018). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Math. Chem. 56, No. 7, 1958--1975 (2018; Zbl 1407.65059) Full Text: DOI
Magreñán, Á. Alberto; Argyros, Ioannis K.; Orcos, Lara; Sicilia, Juan Antonio Secant-like methods for solving nonlinear models with applications to chemistry. (English) Zbl 1404.92229 J. Math. Chem. 56, No. 7, 1935-1957 (2018). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{Á. A. Magreñán} et al., J. Math. Chem. 56, No. 7, 1935--1957 (2018; Zbl 1404.92229) Full Text: DOI
Argyros, Ioannis K.; Magreñán, Á. Alberto Extending the applicability of the local and semilocal convergence of Newton’s method. (English) Zbl 1410.65212 Appl. Math. Comput. 292, 349-355 (2017). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{Á. A. Magreñán}, Appl. Math. Comput. 292, 349--355 (2017; Zbl 1410.65212) Full Text: DOI
Magreñán, Á. Alberto; Argyros, Ioannis K.; Sicilia, Juan Antonio New improved convergence analysis for Newton-like methods with applications. (English) Zbl 1421.65013 J. Math. Chem. 55, No. 7, 1505-1520 (2017). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{Á. A. Magreñán} et al., J. Math. Chem. 55, No. 7, 1505--1520 (2017; Zbl 1421.65013) Full Text: DOI
Amat, S.; Argyros, Ioannis K.; Busquier, S.; Magreñán, Á. Alberto Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions. (English) Zbl 1359.65084 Numer. Algorithms 74, No. 2, 371-391 (2017). Reviewer: Anton Iliev (Plovdiv) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{S. Amat} et al., Numer. Algorithms 74, No. 2, 371--391 (2017; Zbl 1359.65084) Full Text: DOI
Argyros, Ioannis K.; Magreñán, Ángel Alberto; Sicilia, Juan Antonio Improving the domain of parameters for Newton’s method with applications. (English) Zbl 1357.65066 J. Comput. Appl. Math. 318, 124-135 (2017). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Comput. Appl. Math. 318, 124--135 (2017; Zbl 1357.65066) Full Text: DOI
Magreñán, Á. Alberto; Argyros, Ioannis K. New improved convergence analysis for the secant method. (English) Zbl 1527.65039 Math. Comput. Simul. 119, 161-170 (2016). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{Á. A. Magreñán} and \textit{I. K. Argyros}, Math. Comput. Simul. 119, 161--170 (2016; Zbl 1527.65039) Full Text: DOI
Amat, S.; Busquier, S.; Magreñán, Á. A.; Orcos, L. An overview on Steffensen-type methods. (English) Zbl 1353.65048 Amat, Sergio (ed.) et al., Advances in iterative methods for nonlinear equations. Cham: Springer (ISBN 978-3-319-39227-1/hbk; 978-3-319-39228-8/ebook). SEMA SIMAI Springer Series 10, 5-21 (2016). MSC: 65J15 47J25 65-02 65H05 34B15 65L10 PDFBibTeX XMLCite \textit{S. Amat} et al., SEMA SIMAI Springer Ser. 10, 5--21 (2016; Zbl 1353.65048) Full Text: DOI
Argyros, Ioannis K.; Magreñán, Á. Alberto Local convergence and the dynamics of a two-step Newton-like method. (English) Zbl 1343.47067 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 5, Article ID 1630012, 18 p. (2016). MSC: 47J25 37F10 37C25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{Á. A. Magreñán}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 5, Article ID 1630012, 18 p. (2016; Zbl 1343.47067) Full Text: DOI
Magreñán, Ángel Alberto; Argyros, Ioannis K. Improved convergence analysis for Newton-like methods. (English) Zbl 1339.65074 Numer. Algorithms 71, No. 4, 811-826 (2016). Reviewer: Bangti Jin (London) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{Á. A. Magreñán} and \textit{I. K. Argyros}, Numer. Algorithms 71, No. 4, 811--826 (2016; Zbl 1339.65074) Full Text: DOI
Amat, Sergio; Busquier, Sonia; Bermúdez, Concepción; Magreñán, Ángel Alberto Expanding the applicability of a third order Newton-type method free of bilinear operators. (English) Zbl 1461.65096 Algorithms (Basel) 8, No. 3, 669-679 (2015). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{S. Amat} et al., Algorithms (Basel) 8, No. 3, 669--679 (2015; Zbl 1461.65096) Full Text: DOI
Argyros, Ioannis K.; Cordero, Alicia; Magreñán, Alberto; Torregrosa, Juan R. On the convergence of a damped Newton-like method with modified right hand side vector. (English) Zbl 1410.65209 Appl. Math. Comput. 266, 927-936 (2015). MSC: 65J15 49M15 47J25 65H10 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Appl. Math. Comput. 266, 927--936 (2015; Zbl 1410.65209) Full Text: DOI Link
Argyros, Ioannis Konstantinos; Magreñán, Ángel Alberto On the convergence of inexact two-point Newton-like methods on Banach spaces. (English) Zbl 1410.65213 Appl. Math. Comput. 265, 893-902 (2015). MSC: 65J15 90C30 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{Á. A. Magreñán}, Appl. Math. Comput. 265, 893--902 (2015; Zbl 1410.65213) Full Text: DOI
Magreñán, Á. Alberto; Argyros, Ioannis K. New semilocal and local convergence analysis for the secant method. (English) Zbl 1410.65222 Appl. Math. Comput. 262, 298-307 (2015). MSC: 65J15 47J05 47J25 PDFBibTeX XMLCite \textit{Á. A. Magreñán} and \textit{I. K. Argyros}, Appl. Math. Comput. 262, 298--307 (2015; Zbl 1410.65222) Full Text: DOI
Argyros, Ioannis K.; Magreñán, Á. Alberto Extending the convergence domain of the secant and Moser method in Banach space. (English) Zbl 1330.65081 J. Comput. Appl. Math. 290, 114-124 (2015). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{Á. A. Magreñán}, J. Comput. Appl. Math. 290, 114--124 (2015; Zbl 1330.65081) Full Text: DOI
Magreñán, Á. Alberto; Argyros, Ioannis K. Expanding the applicability of secant method with applications. (English) Zbl 1319.47056 Bull. Korean Math. Soc. 52, No. 3, 865-880 (2015). MSC: 47J25 49M15 65J15 PDFBibTeX XMLCite \textit{Á. A. Magreñán} and \textit{I. K. Argyros}, Bull. Korean Math. Soc. 52, No. 3, 865--880 (2015; Zbl 1319.47056) Full Text: DOI Link
Argyros, Ioannis K.; Magreñán, Á. Alberto Improved local convergence analysis of the Gauss-Newton method under a majorant condition. (English) Zbl 1311.90140 Comput. Optim. Appl. 60, No. 2, 423-439 (2015). MSC: 90C30 65G99 65K10 47H10 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{Á. A. Magreñán}, Comput. Optim. Appl. 60, No. 2, 423--439 (2015; Zbl 1311.90140) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh; Magreñán, Á. Alberto Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order. (English) Zbl 1309.65061 J. Comput. Appl. Math. 282, 215-224 (2015). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Comput. Appl. Math. 282, 215--224 (2015; Zbl 1309.65061) Full Text: DOI
Argyros, Ioannis Konstantinos; George, Santhosh; Magreñán, Ángel Alberto Expanding the convergence domain for Chun-Stanica-Neta family of third order methods in Banach spaces. (English) Zbl 1316.65058 J. Korean Math. Soc. 52, No. 1, 23-41 (2015). Reviewer: Jun Xian (Guangzhou) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Korean Math. Soc. 52, No. 1, 23--41 (2015; Zbl 1316.65058) Full Text: DOI Link
Argyros, Ioannis K.; Magreñán Ruiz, Ángel Alberto On the Newton-Kantorovich method for analytic operators. (English) Zbl 1311.65055 Adv. Nonlinear Var. Inequal. 17, No. 1, 73-82 (2014). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{Á. A. Magreñán Ruiz}, Adv. Nonlinear Var. Inequal. 17, No. 1, 73--82 (2014; Zbl 1311.65055)
Argyros, I. K.; González, D.; Magreñán, Á. A. Majorizing sequences for Newton’s method under centred conditions for the derivative. (English) Zbl 1312.65085 Int. J. Comput. Math. 91, No. 12, 2568-2583 (2014). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Int. J. Comput. Math. 91, No. 12, 2568--2583 (2014; Zbl 1312.65085) Full Text: DOI
Argyros, Ioannis Konstantinos; Magreñán, Ángel Alberto A unified convergence analysis for secant-type methods. (English) Zbl 1320.65082 J. Korean Math. Soc. 51, No. 6, 1155-1175 (2014). Reviewer: Vasilis Dimitriou (Chania) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{Á. A. Magreñán}, J. Korean Math. Soc. 51, No. 6, 1155--1175 (2014; Zbl 1320.65082) Full Text: DOI
Argyros, Ioannis K.; Magreñán Ruiz, Ángel Alberto Relaxed secant-type methods. (English) Zbl 1307.65074 Nonlinear Stud. 21, No. 3, 485-503 (2014). Reviewer: Zhihua Zhang (Beijing) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{Á. A. Magreñán Ruiz}, Nonlinear Stud. 21, No. 3, 485--503 (2014; Zbl 1307.65074) Full Text: Link
Amat, Sergio; Argyros, Ioannis Konstantinos; Magreñán, Ángel Alberto Local convergence of the Gauss-Newton method for injective-overdetermined systems. (English) Zbl 1303.65040 J. Korean Math. Soc. 51, No. 5, 955-970 (2014). Reviewer: José Manuel Gutiérrez Jimenez (Logrono) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{S. Amat} et al., J. Korean Math. Soc. 51, No. 5, 955--970 (2014; Zbl 1303.65040) Full Text: DOI Link
Argyros, I. K.; González, D.; Magreñán, Á. A. A semilocal convergence for a uniparametric family of efficient secant-like methods. (English) Zbl 1321.65085 J. Funct. Spaces 2014, Article ID 467980, 10 p. (2014). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Funct. Spaces 2014, Article ID 467980, 10 p. (2014; Zbl 1321.65085) Full Text: DOI
Argyros, Ioannis Konstantinos; Gutiérrez, José Manuel; Magreñán, Ángel Alberto; Romero, Natalia Convergence of the relaxed Newton’s method. (English) Zbl 1286.65067 J. Korean Math. Soc. 51, No. 1, 137-162 (2014). Reviewer: Werner H. Schmidt (Greifswald) MSC: 65J15 47H30 47J25 65R20 45G10 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Korean Math. Soc. 51, No. 1, 137--162 (2014; Zbl 1286.65067) Full Text: DOI Link
Argyros, Ioannis K.; Magreñán Ruiz, Ángel Alberto General convergence conditions of Newton’s method for \(m\)-Fréchet differentiable operators. (English) Zbl 1300.65035 J. Appl. Math. Comput. 43, No. 1-2, 491-506 (2013). Reviewer: Peter Zabreiko (Minsk) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{Á. A. Magreñán Ruiz}, J. Appl. Math. Comput. 43, No. 1--2, 491--506 (2013; Zbl 1300.65035) Full Text: DOI